54864000 has 256 divisors, whose sum is σ = 203673600. Its totient is φ = 14515200.

The previous prime is 54863987. The next prime is 54864011. The reversal of 54864000 is 46845.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431937 + ... + 432063.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^54864000 is an apocalyptic number.

54864000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101836800).

54864000 is an abundant number, since it is smaller than the sum of its proper divisors (148809600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54864000 is a wasteful number, since it uses less digits than its factorization.

54864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54864000 is about 7407.0236937653. The cubic root of 54864000 is about 379.9815318818.

It can be divided in two parts, 54 and 864000, that multiplied together give a cube (46656000 = 360³).

The spelling of 54864000 in words is "fifty-four million, eight hundred sixty-four thousand".